There are 100 students at a school and three dormitories A, B, and C with capacities of 25, 35, and 40, respectively.

Required:
a. How many ways are there to fill up the dormitories?
b. Suppose that, of the 100 students, 50 are men and 50 arewomen and that A is an all-men's dorm, B is an all-women's dorm andC is co-ed. How many ways are there to fill thedormitories?

Answer: 88.56

Step-by-step explanation:

Given that:

Mean score (m) = 80.1

Standard deviation (s) = 7.2

Minimum score required to score A grade =?

A= Top 12% of scores

Zscore corresponding to top 12% = bottom 88%

Zscore = 1.175

Zscore = (x - mean) / s

1.175 = (x - 80.1) / 7.2

1.175 * 7.2 = x - 80.1

8.46 = x - 80.1

8.46 + 80.1 = x

x = 88.56

Answer:

2/5=6/15 and that is less so....

Step-by-step explanation:

Answer: yes because without the x the y does not have a corresonding oint

Answer:

[tex]5\sqrt{ 7[/tex]

Step-by-step explanation:

[tex]\sqrt{75} \\\\perfect squares: 1,25\\\\175/25 = 7\\\\\sqrt{25} = 5 \\\\[/tex]

Answer:

Millions

Step-by-step explanation:

Answer:

one million

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Sabendo que 119 268 916 é divisível por 13, o número 119 268 903 também é divisível por 13.

Isso ocorre porque a diferença entre um múltiplo de um número e o próximo múltiplo de um número é esse próprio número.

Portanto, para encontrar outros múltiplos que são divisíveis por 13 dado o resultado na pergunta, podemos adicionar múltiplos menores de 13 ou subtrair múltiplos menores de 13 do número.

O que estamos dizendo é que o número - 13 ou mesmo -26 ou +39 daria outro múltiplo de 13. O que estamos dizendo é que chegaremos a um número que é divisível por 13 do outro número dado que o número que estamos adicionando ou subtrair do número é um múltiplo de 13.

Agora vamos verificar as opções, podemos ver que a diferença entre o número e a opção é 13 que, claro, é um múltiplo de 13.

Esta é a razão pela qual o número é a nossa resposta.

A fraction is a way to describe a part of a whole. The distance between -3/4 and 1 3/4 on a number line is 1 unit.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

The distance between -3/4 and 1 3/4 on a number line is,

Distance = 1 3/4  -  3/4

               = 7/4 - 3/4

               = (7-3)/4

               = 4/4 units

               = 1 units

Hence, the distance between -3/4 and 1 3/4 on a number line is 1 unit.

Learn more about Fraction here:

https://brainly.com/question/1301963

#SPJ2

Answer:

The garden is 14ft by 8ft.

The width of the walkway needs to be the same around each side of the garden, let's suppose that the width is X.

Then the area of the garden plus the walkway will be:

(14ft + X) by (8ft + X).

And we want that the total area of the garden and the walkway must be equal to 315 ft^2. Then we must solve the equation:

(14ft + X)*(8ft + X) = 315ft^2

Let's solve this for X.

112ft^2 + 14ft*X + 8ft*X + X^2 = 315ft^2

Let's move al the terms to the same side:

X^2 + (14ft + 8ft)*X + 112ft^2 - 315ft^2 = 0

X^2 + 22ft*X - 203ft^2 = 0.

Now to solve this we can use Bhaskara's equation:

[tex]X = \frac{-22ft +- \sqrt{(22ft)^2 - 4*1*(203ft^)} }{2} = \frac{-22ft +-36ft}{2}[/tex]

Then we have two solutions:

X = (-22ft - 36ft)/2 = -29ft

This solution is negative, and X represents a width, so must be positive, then we can discard this solution.

X = (-22ft + 36ft)/2 = 7ft

Then we can conclude that the width of the walkway must be 7ft.

Answer:

B slope = 1 and y intercept is 3

Step-by-step explanation:

The y intercept is where the line crosses the y axis (x is zero).

The slope can be figured by how far the line rises and runs to the next intersection of lines. In this case it goes up 1 and to the right 1. The slope would be 1/1 or 1

Answer:

Slope =1 ; Y-intercept=3

Step-by-step explanation:

The y intercept would be the point on the vertical line that touches the graph which in this case is three.

then to get to the next point that's on the line would have to move over 1 once to the right and one time up. so the slope is 1 over 1 which would equal 1.

Answer:

x = 76 children's tickets sold

Step-by-step explanation:

Let x = the number of children's tickets sold

Let y = the number of adult tickets sold

x + y = 131

5.5x + 9.8y = 957    Solve the first equation for y

y = 131 - x        Multiply the second equation by 10

55x +98y = 9570     Substitute the above equation into this one.

55x + 98(131-x) = 9570   Use the distributive property

55x + 12838 - 98x = 9570   Solve the equation

-43x = -3268

x= 76 children's tickets sold

768 square meters.

We can break it down into two shapes, a rectangle and a triangle.

Rectangle:

[tex]a = b \times h[/tex]

[tex]a = (48) \times (11)[/tex]

[tex]a = 528m^{2} [/tex]

Triangle:

[tex]a = \frac{b \times h}{2} [/tex]

[tex]a = \frac{(48) \times (10)}{2} [/tex]

[tex]a = \frac{480}{2} [/tex]

[tex]a = 240m^{2} [/tex]

Add them together:

[tex]528m^{2} + 240m^{2} = 768m^{2} [/tex]

Answer:

+12 degrees

Step-by-step explanation:

You never showed a picture, but im pretty sure this is correct

I hope this helped, please mark Brainliest, thank you!

Answer:

744

Step-by-step explanation:

Answer:

5+10+6=21

4/21 = ___

Step-by-step explanation:

The probability that 4 randomly selected balls are all green will be;

"4/21 ".

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Given:

Number of white balls = 5

Number of red balls = 10

Number of green balls = 6

The Total number of balls = 21

Therefore, The probability that 4 randomly selected balls are all green will be;

= 4/21

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Step-by-step explanation:

29x - 3 + 15x + 7 = 180° because these two angles are supplementary

if we add like terms

44x + 4 = 180

44x = 176 divide both sides by 44

x = 4

29x - 3 = 13y - 17 because alternate exterior angles has same measurement

since we found the value of x let's rewrite the equation

4 × 29 - 3 = 13y - 17

113 = 13y - 17

130 = 13y divide both sides by 13

10 = y

Answer:

You are right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope it helps!!

Triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).

Given that, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1).

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

90° counterclockwise rotation: (x, y) becomes (-y, x)

A(2, 7) → A'(-7, 2)

B(6, 5) → B'(-5, 6)

C(4, 1) → C'(-1, 4)

Therefore, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).

Learn more about the rotation of 90° counterclockwise here:

brainly.com/question/1571997.

#SPJ2

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Population Mean wage (m) = $24.57

a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

The Null hypothesis : μ = 24.57

1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

Alternative hypothesis : μ ≠ 24.57

1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.

Sample size (n) = 30

Sample mean (Sm) = 23.89

Population standard deviation (σ) = 2.40

Obtaining Z:

Z = (Sm - m) / σ/√n

Z = (23.89 - 24.57) / 2.40/√30

Z = - 0.68 / 0.4381780

Z = - 1.5518805

Using the online p value calculator from Zscore

P value = 0.121142

= 0.1211

Answer: 99 sq meters

Step-by-step explanation:

break the figure up into smaller boxes. the far left is 48 m^2, the middle box is 15 m^2, and the right box is 36 m^2

Answer:

He is a soccer player

Step-by-step explanation:

Lionel Andrés Messi is an Argentine professional footballer who plays as a forward and captains both Spanish club Barcelona and the Argentina national team.

Answer:

an Argentine professional footballer (soccer) who plays as a forward and captains both Spanish club Barcelona and the Argentina national team.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Because its more than likely asking whats in side the parenthisis

Answer:

ln(2) = 0.6931

Step-by-step explanation:

"ln" stands for natural logarithm.

You can memorize the "ln" of some of the basic prime numbers.

ln(2) = 0.6931

ln(3) = 1.0986

ln(5) = 1.6094

Beest of Luck!

Answer:

yes they can be the same

Step-by-step explanation:

yes

Answer:

20.44>2.044

Step-by-step explanation:

Answer

I would say the 3rd one.

Step-by-step explanation:

I do not really remember this but I am in 8th grade math to (Algebra)

Answer:

see below

Step-by-step explanation:

the current model costs $42,000.

next model = 6.8% less than $42,000

find;

1. how much will the price decrease in dollars?

2. what will be the price of the next model?

solution:

1. the price decrease = $42,000 x 0.068

2. price of next model = $42,000 - $2,856

Answer:

4/5

Step-by-step explanation: